Math Problem Statement
Complete the table by calculating the missing values of x, x^2, and x^3.
Solution
To help you fill out this table, we need to calculate the values of and for different values of . Here's how we can proceed based on the numbers available in the image:
Given Data:
The numbers available for are:
The corresponding squares and cubes will be:
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:
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:
- (already filled in the table)
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:
- (already filled in the table)
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:
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:
Filling the Table:
Based on these calculations, the completed table should look like this:
0 | 0 | 0 |
5 | 25 | 125 |
10 | 100 | 1,000 |
50 | 2,500 | 125,000 |
100 | 10,000 | 1,000,000 |
Let me know if you have any questions or need further clarifications!
Here are 5 related questions:
- What is the relationship between the values of and ?
- How would you calculate for each in the table?
- If , what would be and ?
- What happens to and as increases?
- How does grow in comparison to ?
Tip: When squaring or cubing numbers, always remember that even small increases in lead to much larger increases in and .
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Math Problem Analysis
Mathematical Concepts
Exponents
Squares and Cubes
Formulas
x^2 (square of x)
x^3 (cube of x)
Theorems
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Suitable Grade Level
Grades 6-8